To find the equation of the line that passes through the origin and describes the proportional relationship shown in the graph, we need to find the slope of the line.
The slope of a line is given by the formula m = (y2 - y1) / (x2 - x1).
Using the points provided, we have:
x1 = 3, y1 = 1
x2 = 6, y2 = 2
x3 = 9, y3 = 3
Substituting these values into the slope formula:
m = (2 - 1) / (6 - 3) = 1/3
So, the slope of the line is 1/3.
The equation of a line in slope-intercept form is given by y = mx, where m is the slope.
Substituting the value of m into the equation, we have:
y = (1/3)x
Therefore, the equation of the line is y = (1/3)x.
Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
line passes through y1x3 y2x6 y3x9
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